Definition
The residue of a meromorphic function at an isolated singularity, often denoted is the unique value such that has an analytic antiderivative in a punctured disk . Alternatively, residues can be calculated by finding Laurent series expansions, and one can define the residue as the coefficient a-1 of a Laurent series.
Read more about this topic: Residue (complex Analysis)
Famous quotes containing the word definition:
“One definition of man is “an intelligence served by organs.””
—Ralph Waldo Emerson (1803–1882)
“I’m beginning to think that the proper definition of “Man” is “an animal that writes letters.””
—Lewis Carroll [Charles Lutwidge Dodgson] (1832–1898)
“The man who knows governments most completely is he who troubles himself least about a definition which shall give their essence. Enjoying an intimate acquaintance with all their particularities in turn, he would naturally regard an abstract conception in which these were unified as a thing more misleading than enlightening.”
—William James (1842–1910)